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Finding the Fourth Proportional to 200,199.36, 300,298.80 and 121,336.08

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Solution

The fourth proportional to 200,199.36, 300,298.80 and 121,336.08 is: 182,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,199.36 : 300,298.80 = 121,336.08 : x
  2. Step 2: Convert to fraction form
    200,199.36/300,298.80 = 121,336.08/x
  3. Step 3: Cross multiply
    200,199.36x = 300,298.80 × 121,336.08
  4. Step 4: Simplify right side
    200,199.36x = 36,437,079,220.70
  5. Step 5: Solve for x
    x = 36,437,079,220.70/200,199.36
  6. Step 6: Final answer
    x = 182,003.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.